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Finding the Fourth Proportional to 8,563.37, 12,844.02 and 2,323.00

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Solution

The fourth proportional to 8,563.37, 12,844.02 and 2,323.00 is: 3,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.37 : 12,844.02 = 2,323.00 : x
  2. Step 2: Convert to fraction form
    8,563.37/12,844.02 = 2,323.00/x
  3. Step 3: Cross multiply
    8,563.37x = 12,844.02 × 2,323.00
  4. Step 4: Simplify right side
    8,563.37x = 29,836,626.35
  5. Step 5: Solve for x
    x = 29,836,626.35/8,563.37
  6. Step 6: Final answer
    x = 3,484.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.